Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Thermodynamic Selection and the Emergence of the Born Rule: A Field- Theoretic Approach in the Chronon-Plasma Lattice

Prof Dr MD faridul Islam Chowdhury

Published Jul 17, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.22123.91682

Related papers

Thermodynamics and quantum field theory

I. Hardman, Hiroomi Umezawa, Y. Yamanaka

Physics Letters A•Jun 1, 1990•12 citations

Deriving the Born Rule from Boundary-Induced Alignment in Chronon Field Theory

Bin Li

In this paper, we derive the Born rule in Chronon Field Theory (CFT) from first principles under realistic measurement assumptions. A recent work in CFT shows that Lorentzian signature and causal structure emerge dynamically from a unit-norm constraint on the chronon field, providing the geometric foundation for the time-asymmetric alignment dynamics studied here. First, we obtain a diffusion limit for alignment order parameters on the outcome simplex and prove that the overlaps with apparatus eigen-domains form martingales up to the absorption time; optional stopping then yields single-shot Born probabilities. Second, we derive the stochastic limit from noisy chronon gradient flow with boundary coupling by a hydrodynamic limit (tightness, identification of the generator, and boundary layer analysis). Third, we establish a large-deviation principle (LDP) for empirical frequencies in repeated measurements via Sanov’s theorem, with rate function minimized at the Born vector. We quantify robustness to finite temperature, imperfect interfaces and basis degeneracies and outline falsifiable predictions for alignment timescales and drift bounds. Conceptually, the analysis shows that measurement is not a collapse of the system into one of its own eigenstates, but stochastic absorption of the system field into pre-stabilized apparatus eigen-domains. This does not directly contradict the standard textbook view — since apparatus domains are engineered to correspond to system eigenbases — but offers a deeper dynamical interpretation of why outcomes are definite and Born-weighted.

Reports in Advances of Physical Sciences•Jan 1, 2026•0 citations

A Thermodynamic Derivation of the Born Rule from Structural Persistence

Bill Giannakopoulos

The Born Rule is central to quantum mechanics, yet it remains a postulate: a probabilistic rule grafted onto the deterministic evolution of the Schrödinger equation. This work derives the Born Rule as an emergent statistical law grounded in thermodynamic principles. We propose that quantum probability reflects the survival likelihood of a branch under decoherence, determined by its informational reversibility, structural fragility, and exposure to entropy.In this formulation, reversibility quantifies the mutual information retained during measurement, entropy reflects environmental disruption, and buffering represents the system’s capacity to absorb it. In low-entropy, high-buffering conditions typical of laboratory systems, the survival probability of a branch closely approximates the squared amplitude of its wavefunction — recovering the Born Rule as a limiting case.This approach reframes quantum amplitude as a measure of structural persistence and interprets wavefunction collapse as a form of thermodynamic selection. The result unifies concepts from measurement theory, thermodynamics, and information theory into a coherent physical framework, while also predicting conditions under which deviations from the Born Rule could arise — offering new directions for theoretical and experimental inquiry.

•Apr 21, 2025•0 citations

Quantum Theory and Statistical Thermodynamics

Peter Hertel

Graduate texts in physics•Jan 1, 2017•1 citation

Thermodynamics in the Quantum Regime

Felix C. Binder, Luis Alfonso Correa, Christian Gogolin +2 more

Fundamental theories of physics•Jan 1, 2018•527 citations

Causal Coherence Without Collapse: Chronon Field Theory and the Resolution of Quantum Paradoxes

Bin Li

We present Chronon Field Theory (CFT), a covariant framework in which large–scale spacetime geometry—including temporal order and causal structure—emerges from the coarse–grained dynamics of a single future–directed timelike field Φμ(x). Within this approach, both the unit–norm property of Φμ and the Lorentzian signature of gμν are not postulated but arise uniquely from random microscopic chronon dynamics under broad symmetry and locality assumptions. Quantum phenomena are reinterpreted in this geometric setting: double–slit interference results from phase–coherent Φ–threads rather than superposed particle paths, and measurement appears as a boundary–induced alignment of microscopic orientations with the apparatus’s macroscopic field, yielding definite outcomes without collapse or branching. Schrödinger’s cat is then a straightforward macro–micro coupling with no persistent macroscopic superposition, while EPR–type entanglement reflects shared Φ–thread ancestry across spacelike separations. The Born rule follows from the unbiased martingale structure of alignment dynamics and from coarse–graining symmetries, making it an emergent statistical law; the uncertainty principle appears as a statistical bound on chronon fluctuations, with ℏ arising as the variance of coarse–grained action. CFT thus provides a covariant and ontologically economical framework linking spacetime symmetries to quantum measurement, and predicts scale–dependent effects—such as nonlinear decoherence and curvature–sensitive timing shifts—that are open to experimental test.

•Aug 27, 2025•0 citations
In this paper, we derive the Born rule in Chronon Field Theory (CFT) from first principles under realistic measurement assumptions. A recent work in CFT shows that Lorentzian signature and causal structure emerge dynamically from a unit-norm constraint on the chronon field, providing the geometric foundation for the time-asymmetric alignment dynamics studied here. First, we obtain a diffusion limit for alignment order parameters on the outcome simplex and prove that the overlaps with apparatus eigen-domains form martingales up to the absorption time; optional stopping then yields single-shot Born probabilities. Second, we derive the stochastic limit from noisy chronon gradient flow with boundary coupling by a hydrodynamic limit (tightness, identification of the generator, and boundary layer analysis). Third, we establish a large-deviation principle (LDP) for empirical frequencies in repeated measurements via Sanov’s theorem, with rate function minimized at the Born vector. We quantify robustness to finite temperature, imperfect interfaces and basis degeneracies and outline falsifiable predictions for alignment timescales and drift bounds. Conceptually, the analysis shows that measurement is not a collapse of the system into one of its own eigenstates, but stochastic absorption of the system field into pre-stabilized apparatus eigen-domains. This does not directly contradict the standard textbook view — since apparatus domains are engineered to correspond to system eigenbases — but offers a deeper dynamical interpretation of why outcomes are definite and Born-weighted.
The Born Rule is central to quantum mechanics, yet it remains a postulate: a probabilistic rule grafted onto the deterministic evolution of the Schrödinger equation. This work derives the Born Rule as an emergent statistical law grounded in thermodynamic principles. We propose that quantum probability reflects the survival likelihood of a branch under decoherence, determined by its informational reversibility, structural fragility, and exposure to entropy.In this formulation, reversibility quantifies the mutual information retained during measurement, entropy reflects environmental disruption, and buffering represents the system’s capacity to absorb it. In low-entropy, high-buffering conditions typical of laboratory systems, the survival probability of a branch closely approximates the squared amplitude of its wavefunction — recovering the Born Rule as a limiting case.This approach reframes quantum amplitude as a measure of structural persistence and interprets wavefunction collapse as a form of thermodynamic selection. The result unifies concepts from measurement theory, thermodynamics, and information theory into a coherent physical framework, while also predicting conditions under which deviations from the Born Rule could arise — offering new directions for theoretical and experimental inquiry.
We present Chronon Field Theory (CFT), a covariant framework in which large–scale spacetime geometry—including temporal order and causal structure—emerges from the coarse–grained dynamics of a single future–directed timelike field Φμ(x). Within this approach, both the unit–norm property of Φμ and the Lorentzian signature of gμν are not postulated but arise uniquely from random microscopic chronon dynamics under broad symmetry and locality assumptions. Quantum phenomena are reinterpreted in this geometric setting: double–slit interference results from phase–coherent Φ–threads rather than superposed particle paths, and measurement appears as a boundary–induced alignment of microscopic orientations with the apparatus’s macroscopic field, yielding definite outcomes without collapse or branching. Schrödinger’s cat is then a straightforward macro–micro coupling with no persistent macroscopic superposition, while EPR–type entanglement reflects shared Φ–thread ancestry across spacelike separations. The Born rule follows from the unbiased martingale structure of alignment dynamics and from coarse–graining symmetries, making it an emergent statistical law; the uncertainty principle appears as a statistical bound on chronon fluctuations, with ℏ arising as the variance of coarse–grained action. CFT thus provides a covariant and ontologically economical framework linking spacetime symmetries to quantum measurement, and predicts scale–dependent effects—such as nonlinear decoherence and curvature–sensitive timing shifts—that are open to experimental test.